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Finding the Fourth Proportional to 340.08, 467.82 and 296.34

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Solution

The fourth proportional to 340.08, 467.82 and 296.34 is: 407.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.08 : 467.82 = 296.34 : x
  2. Step 2: Convert to fraction form
    340.08/467.82 = 296.34/x
  3. Step 3: Cross multiply
    340.08x = 467.82 × 296.34
  4. Step 4: Simplify right side
    340.08x = 138,633.78
  5. Step 5: Solve for x
    x = 138,633.78/340.08
  6. Step 6: Final answer
    x = 407.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.